Algebra Examples

$8 m^{\frac{1}{3}} (m^{\frac{1}{3}} + 2)$

Step 1

Apply the distributive property.

$8 m^{\frac{1}{3}} m^{\frac{1}{3}} + 8 m^{\frac{1}{3}} \cdot 2$

Step 2

Multiply $m^{\frac{1}{3}}$ by $m^{\frac{1}{3}}$ by adding the exponents.

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Step 2.1

Move $m^{\frac{1}{3}}$ .

$8 (m^{\frac{1}{3}} m^{\frac{1}{3}}) + 8 m^{\frac{1}{3}} \cdot 2$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8 m^{\frac{1}{3} + \frac{1}{3}} + 8 m^{\frac{1}{3}} \cdot 2$

Step 2.3

Combine the numerators over the common denominator.

$8 m^{\frac{1 + 1}{3}} + 8 m^{\frac{1}{3}} \cdot 2$

Step 2.4

Add $1$ and $1$ .

$8 m^{\frac{2}{3}} + 8 m^{\frac{1}{3}} \cdot 2$

Step 3

Multiply $2$ by $8$ .

$8 m^{\frac{2}{3}} + 16 m^{\frac{1}{3}}$